Window functions

Definitions

The window functions are defined on the interval [-1, 1].

• Bartlett: $w(x)=\mid 1-x\mid$
• Hamming: $w(x)=0.54+0.46 \cos \pi x$
• Parzen: $w(x)=\begin{cases} 1-6x^2+6x^3 & x \le .5 \ 2 \left(1-x \right)^3 & x> 0.5\end{cases}$
• Square: $w(x)=1$
• Tukey: $w(x)=0.5 \times\left(1+\cos \pi x\right)$
• Welch: $w(x)=1-x^2$

Implementation

Usual window functions are defined in the class demetra.data.windowFunction